124144272 has 160 divisors (see below), whose sum is σ = 414536960. Its totient is φ = 34836480.

The previous prime is 124144261. The next prime is 124144277. The reversal of 124144272 is 272441421.

It is a Harshad number since it is a multiple of its sum of digits (27).

It is a nude number because it is divisible by every one of its digits.

It is not an unprimeable number, because it can be changed into a prime (124144277) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 184128 + ... + 184800.

It is an arithmetic number, because the mean of its divisors is an integer number (2590856).

Almost surely, 2^124144272 is an apocalyptic number.

124144272 is a gapful number since it is divisible by the number (12) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 124144272, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (207268480).

124144272 is an abundant number, since it is smaller than the sum of its proper divisors (290392688).

It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.

124144272 is a wasteful number, since it uses less digits than its factorization.

124144272 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 758 (or 746 counting only the distinct ones).

The product of its digits is 3584, while the sum is 27.

The square root of 124144272 is about 11142.0048465256. The cubic root of 124144272 is about 498.8564157576.

Adding to 124144272 its reverse (272441421), we get a palindrome (396585693).

The spelling of 124144272 in words is "one hundred twenty-four million, one hundred forty-four thousand, two hundred seventy-two".